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M$4 January 23, 2009 02:29 AM

How do I make a stretched stem and leaf display?

I'm currently in Statistics, we are working with multiple variables right now (Second week of class, be patient please). I'm having trouble making a stem and leaf display, a stretched one.

Rather than just repeat the question in my words, I thought I would post a picture of the question here.

Basically, what I'm looking for is, how do I create a stretched stem and leaf display. I know how the basic ones work, but not this complicated one. I'm not even sure where to begin, let alone answer the question. I'm pretty sure 10-14 on stem 1 stands for 110-140? Is that right? But then how do I figure out the below stems and leaves?

Thanks.
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January 23, 2009 02:38 PM
Per the instructions, start by removing the last digit from each number, so 136 turns into 13, 211 turns into 21 and so on. You should now have a list of 50 two-digit numbers, ranging from 12 to 49.

Next, divide the 50 numbers into four groups, with numbers 12-14 in the first group, 15-19 in the second, 20-24 in the third, 25-29 in the fourth, 31-34 in the fifth, 36-38 in the sixth, 40-44 in the seventh and 47-49 in the last group.

Since this is a stretched stem and leaf chart, set up the chart with two ones, two twos, two threes and two fours, as follows:

1 |
1 |
2 |
2 |
3 |
3 |
4 |
4 |

Now add each group of numbers to the chart. Since we have already separated the numbers into groups o which stem they will go on, adding them should be quick and easy. Add the first group to the first stem, the second group to the second stem, and so on through the eighth stem. You should come to something like this:

1 | 234
1 | 556667778889999
2 | 01111223334444
2 | 566789
3 | 1234
3 | 668
4 | 034
4 | 79

Now that you have your chart set up, finding the frequency of the third stem:

2 | 01111223334444

is up to you!
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January 23, 2009 03:07 AM
I think that the stretched stem and leaf diagram is probably going to have about 8 stems, because you need two stems for each hundred (you split each hundred down the middle and give it to one stem) and the highest number looks to be 490.  Basically, once you have the 8 stems you divide up your numbers like so that there is one group from 100-149, another from 150-199, another from 200-249, and so on.  Then you take the first group and pretend that it is totally separate from the rest and plot it on the first stem.  So then you have the numbers 100-149 graphed on the first stem.  Then you take the second group and pair it to the second stem, and so on and so forth.  Basically, an extended stem and leaf thing is just dividing up the one stem into many separate stems that each take a certain value range

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